Details

Time bar (total: 17.7s)

sample87.0ms

Algorithm
intervals
Results
35.0ms275×body80valid
21.0ms265×body80nan

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5006
92920
81615
7959
6645
5435
4318
3176
262
124
012

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip3-- flip-+ div-inv flip-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
12.0ms
(+ y (/ 1.0 (* x 9.0)))
162.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms
(/ 1.0 (* x 9.0))
14.0ms
(* 3.0 (sqrt x))

series221.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ y (/ 1.0 (* x 9.0)))
97.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
29.0ms
(/ 1.0 (* x 9.0))
54.0ms
(* 3.0 (sqrt x))

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
done5007
21635
1482
0178

prune493.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b
(/ 1.0 (* x 9.0))

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
12.0ms
(+ y (/ 1.0 (* x 9.0)))
218.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
193.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
12.0ms
(/ 1.0 (* x 9.0))

series242.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ y (/ 1.0 (* x 9.0)))
71.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
87.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
35.0ms
(/ 1.0 (* x 9.0))

simplify1.6s

Counts
110 → 110
Iterations
IterNodes
done5008
21617
1459
0177

prune720.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ 1 x) (/ 1.0 9.0)))
0.2b
(* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0)))
0.4b
(* (/ 1 x) (/ 1.0 9.0))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
33×add-exp-log
26×*-un-lft-identity
25×times-frac
23×add-cbrt-cube
22×associate-*l* add-cube-cbrt
19×associate-*r*
15×distribute-rgt-in distribute-lft-in
13×pow1
12×prod-exp
8×div-exp cbrt-unprod unswap-sqr
7×associate-*r/
6×sub-neg associate--l+ add-log-exp
5×pow-prod-down
4×cbrt-undiv sqrt-prod
3×*-commutative
2×rec-exp flip3-- 1-exp div-inv flip--
1×frac-times +-commutative sum-log flip3-+ associate-*l/ flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 131
Calls
4 calls:
9.0ms
(+ y (* (/ 1 x) (/ 1.0 9.0)))
94.0ms
(* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
83.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0)))
25.0ms
(* (/ 1 x) (/ 1.0 9.0))

series251.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ y (* (/ 1 x) (/ 1.0 9.0)))
79.0ms
(* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
99.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0)))
23.0ms
(* (/ 1 x) (/ 1.0 9.0))

simplify1.9s

Counts
143 → 143
Iterations
IterNodes
done5014
22272
1700
0244

prune708.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
0.3b
(/ 1.0 (* x 9.0))
0.4b
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite936.0ms

Algorithm
rewrite-expression-head
Rules
51×distribute-rgt-in distribute-lft-in
37×add-exp-log
32×pow1
25×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
17×add-sqr-sqrt
16×*-un-lft-identity
14×sub-neg associate--l+
13×associate-*l*
12×associate-*r/
11×add-cube-cbrt
8×associate-*r*
4×sqrt-prod add-log-exp
3×cbrt-prod times-frac flip3-- *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp distribute-lft-out-- unswap-sqr
1×clear-num associate-/r* frac-2neg div-inv distribute-lft-out difference-of-squares
Counts
4 → 143
Calls
4 calls:
203.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
497.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
6.0ms
(/ 1.0 (* x 9.0))
224.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
131.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
19.0ms
(/ 1.0 (* x 9.0))
178.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify2.0s

Counts
155 → 155
Iterations
IterNodes
done5009
22409
1701
0242

prune630.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s8499×body80nan
576.0ms8508×body80valid